The Mathematical Works of Leon Battista Alberti

  • Kim Williams
  • Lionel March
  • Stephen R. Wassell

Table of contents

  1. Front Matter
    Pages i-x
  2. Kim Williams, Lionel March, Stephen R. Wassell
    Pages 1-8
  3. Kim Williams, Lionel March, Stephen R. Wassell
    Pages 9-140
  4. Kim Williams, Lionel March, Stephen R. Wassell
    Pages 141-168
  5. Kim Williams, Lionel March, Stephen R. Wassell
    Pages 169-200
  6. Kim Williams, Lionel March, Stephen R. Wassell
    Pages 201-212
  7. Back Matter
    Pages 213-221

About this book

Introduction

Leon Battista Alberti (1404¬–1472) was a highly prolific polymath of the fifteenth century. Although his contributions to architecture and the visual arts are well known and available in good English editions, as are many of his literary and social writings, his mathematical works are not well represented. This present volume was planned to fill that gap, with entirely new English translations and critical commentaries making the works easily accessible for a wide readership of specialists and non-specialists alike. Four texts are included here. Although Alberti’s Commentarii rerum mathematicarum appears to be lost, we have his Ludi matematici . In these “games” Alberti describes twenty practical applications of mathematics in an accessible style. The translation is accompanied by a new transcript of the recently identified manuscript held in the National Library in Florence upon which it was based. In Elementi di pittura, Alberti provides a catalogue of definitions and geometric constructions, using Euclidean references but drawing a distinction between theoria of mathematical entities and praxis of painterly applications. Alberti’s most original mathematical contribution is a late work, De compendis cifris, first discussing the frequency of vowels, consonants, and different groupings in Latin, and then introducing a method of polyalphabetic substitution. Even more original is his enciphered code which permutes four numerals in two-, three-, and four-digit groups. De lunularum quadratura rehearses the classical demonstration of squaring a lune by Hippocrates.

Keywords

Leonardo da Vinci Mathematica Microsoft Access Renaissance architecture boundary element method games knowledge

Editors and affiliations

  • Kim Williams
    • 1
  • Lionel March
    • 2
  • Stephen R. Wassell
    • 3
  1. 1.TorinoItaly
  2. 2.Ely, Cambs.United Kingdom
  3. 3.Dept. Mathematical SciencesSweet Briar CollegeSweet BriarUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0346-0474-1
  • Copyright Information Springer Basel AG 2010
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0346-0473-4
  • Online ISBN 978-3-0346-0474-1
  • About this book